1,286 Answered Questions for the topic differential equations

Differential Equations Differential Differentiate

02/21/15

h(x) = e^((3x^2 ) - 4x) * (log_5 (3x+7))^4 + 5
log_5 means that the base is 5.   ((3x^2) - 4x) is counted as the exponent for e.   * means multiply
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Differential Equations Differentiation Differentiate

02/21/15

g(x) = (sec(ln(x))) / (tan^2(x))
 Differentiation. i need help with this problem.
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Differential Equations

02/04/15

complicated differential equation problem
(*The dot next to the N means N prime)   A lake is stocked with an initial population of fish N0 (at t = 0). Over time the fish population N(t) grows according to the differential... more
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Differential Equations

02/01/15

Create an equation of a function that is both differentiable and continuous at points (3,-7) and show how it is both continuous and sifferentiaable there.
Differentiability and continuity
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Differential Equations

01/31/15

Find steady state solution
The governing equation: ∂Ω/∂t = (∂2Ω/∂x2)-DH(∂Ω/∂x) Find the steady-state solution Ω(x) from the boundary conditions: Ω(0) =1,Ω(1)=0
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Differential Equations

01/27/15

what is the integral of 2t/1-t^2 ?
Solve the following differential equation with the given initial condition: (1-t^2) dy/dt = 2t, y=0 when t=0, for -1< t < 1
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Differential Equations

01/26/15

write the distan(ce)traveled by the boat as a function of time is v=-18e ln(.5.5·t+C)
ignoring resistance, a sailboat starting from rest accelerates (dv/dt) at a rate proportional to the difference between the velocities of the wind and the boat.  a) the wind is blowing at 16... more
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Differential Equations

12/17/14

Find the radius of convergence and the interval of convergence for: S (n=1 to infinity) (2^n(x-2)^n)/(n+2)!
Find the radius of convergence and the interval of convergence for: Σ (n=1 to infinity) (2^n(x-2)^n)/(n+2)! Nothing really beyond what the question asks. I think I am supposed to find the... more
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Differential Equations

12/11/14

Find the general solution of the differential equation dy/dx = (y^4)*((x+1)/((x-2)(x^2+5))) , and any other solutions if they exist.
I have been very stuck on this problem for a few days.   I manage to separate the variables however and integrate for y but I am left with a very difficult integral for x.
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Differential Equations Stability

11/24/14

Find the stability of this differential equation
Find the stability of this differential equation and explain if it's stable or unstable   dy/dt = (1-y)(y+3)
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Differential Equations

11/20/14

find a general solution in power series y"-x^2 (y )-3xy=0
I got stuck
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Differential Equations

11/19/14

how do you solve dy/dx=-(4x+3y+15/2x+y+7)
I have tried all methods but nothing works.. Thank you in advance
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Differential Equations

11/10/14

The differential equation y'(x)+2y(x)/x=6
How do I solve the differential equation y'(x)+2y(x)/x=6, when y(x0)=y0; x0=-2 and y0=-4.
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Differential Equations Calculus 3

10/30/14

f '' (t) +f (t) = tan(2t)
How can i get this?
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Differential Equations Laplace Transform

10/25/14

differential equation. laplace transform
given in series circuit L=1H, R=110ohm, C=0.001F, v=90V. Find the resultant current when the switch is originally open and it is closed for 1s. then it is open again when t=1. use laplace... more
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Differential Equations Calculus

08/10/14

find the particular solution of the differential equation f"(x)=6(x-1)
find the particular solution of the differential equation f"(x)=6(x-1) whose graph passes through the point (2,1) and is tangent to the line 3x-y-=0 at that point
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07/23/14

Solving Second order non homogeneous DE using variation of parameters?
The process I was taught in class was as follows: 1. Transform the second order non homogeneous DE into a system of first order DE. 2. Solve the homogeneous part. 3. Assume the solution to the... more
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Differential Equations Physics Linear Differential

07/06/14

Differential Equations circuit homework problem
Attached is the problem from my text book. I'm confused about what I'm actually solving and how to use what I know. I know that Current for the inductor is given by the equation di/dt = v/L and the... more
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Differential Equations

05/19/14

Can someone help me with a differential equation problem?
Suppose that an initial population of 10,000 bacteria grows exponentially at a rate of 2% per hour and that y=y(t) is the number of bacteria present t hours later. a) Find an initial-value problem... more
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04/24/14

Differentiation Rules for Exponential Functions
how do you find the second derivative of y=e-x^2
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Differential Equations Equations Functions Applications

04/12/14

Applications of Sinusoidal Functions and Their Derivatives
A differential equation is an equation involving a function and one or more of its derivatives. Determine whether the function y=πsinθ+2πcosθ is a solution to the differential equation d^2y/dθ^2 +... more
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Differential Equations

03/30/14

Find general solution of y'' + y = 3sin(2t) + tcos(2t)
Answer: c1cos(t) + c2sin(t) -1/3tcos(2t) -5/9sin(2t) Please show the work step by step.
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Differential Equations

03/30/14

Find general solution of 2y" + 3y' + y = t^2 + 3sin(t)
Answer: c1e^-t + c2e^-t/2 + t^2 +6t + 14 -3/10sin(t) - 9/10cos(t) Please show the work step by step.
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Differential Equations

03/30/14

Find general solution of y" + 2y' + y = 2e^-t
Answer: c1e^-t + c2t^-t + t^2e^-t
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Differential Equations Solving For(fg)(x)

02/08/14

consider the equation f(x)=-6-1 and g(x)=4x^2 select the solution for (fg)(x)
consider the equation f(x)=-6-1 and g(x)=4x^2 select the solution for (fg)(x)
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